Iterative homotopy harmonic balance approach for determining the periodic solution of a strongly nonlinear oscillator

DOI10.1155/2015/675176zbMath1394.65064OpenAlexW1888305713WikidataQ59119399 ScholiaQ59119399MaRDI QIDQ1666306

Huaxiong Chen, Ming Kang Ni

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/675176

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)

Cites Work

• Unnamed Item
• Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity
• Application of He's parameter-expansion method for oscillators with smooth odd nonlinearities
• Variational iteration method for solving non-linear partial differential equations
• Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator
• The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators
• Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method
• Periodic solutions of Duffing equation with strong nonlinearity
• Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator
• He's parameter-expanding methods for strongly nonlinear oscillators
• Periodic solution for strongly nonlinear vibration systems by He's energy balance method
• A note on delta-perturbation expansion method
• Homotopy perturbation method for linear programming problems
• Variational iteration method as a kernel constructive technique
• Application of the homotopy perturbation method for the large deflection problem of a circular plate
• Variational iteration method for solving wave equation
• The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
• Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers
• OSCILLATIONS IN AN x4/3POTENTIAL
• Determination of limit cycle by He's parameter-expanding method for strongly nonlinear oscillators
• Solution of a Duffing-harmonic oscillator by the method of harmonic balance
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS